Breathing as a Periodic Gas Exchange in a Deformable Porous
Medium

D 2019

Breathing as a Periodic Gas Exchange in a Deformable Porous Medium

KOPFOVÁ, Jana, Michela ELEUTERI, Erica IPOCOANA and Pavel KREJČÍ

Basic information

Original name

Breathing as a Periodic Gas Exchange in a Deformable Porous Medium

Authors

KOPFOVÁ, Jana (703 Slovakia, belonging to the institution), Michela ELEUTERI (380 Italy), Erica IPOCOANA (380 Italy, guarantor) and Pavel KREJČÍ (203 Czech Republic)

Edition

Cham, Switzerland, Extended Abstracts Spring 2018: Singularly Perturbed Systems, Multiscale, p. 131-135, 5 pp. 2019

Publisher

Springer International Publishing

Other information

Language

English

Type of outcome

Stať ve sborníku

Field of Study

10102 Applied mathematics

Country of publisher

Switzerland

Confidentiality degree

není předmětem státního či obchodního tajemství

Publication form

printed version "print"

References:

Trends in Mathematics

RIV identification code

RIV/47813059:19610/19:A0000059

Organization unit

Mathematical Institute in Opava

ISBN

978-3-030-25260-1

ISSN

DOI

http://dx.doi.org/10.1007/978-3-030-25261-8_20

Keywords (in Czech)

hysterezní operátory; periodická řešení; plíce savců; konvergentní schéma

Keywords in English

Hysteresis operators; periodic solutions; mammalian lungs; convergence scheme

Abstract

ORIG CZ

V originále

We propose to model the mammalian lungs as a viscoelastic deformable porous medium with a hysteretic pressure–volume relationship described by the Preisach operator. Breathing is represented as an isothermal time-periodic process with the gas exchange between the interior and exterior of the body. The main result consists of proving the existence of a periodic solution under an arbitrary periodic forcing in suitable function spaces.

In Czech

Navrhujeme modelovat savčí plíce jako viskoelasticky deformovatelné porézní médium s hysteretickým vztahem mezi tlakem a objemem, který je popsaný Preisachovým operátorem. Dýchání je představováno jako izotermický časově-periodický proces s výměnou plynu mezi vnitřkem a vnějškem těla. Hlavním výsledkem je důkaz existence periodického řešení pod libovolným periodickým tlakem ve vhodných funkcionálních prostorech.

Citovat

KOPFOVÁ, Jana, Michela ELEUTERI, Erica IPOCOANA and Pavel KREJČÍ. Breathing as a Periodic Gas Exchange in a Deformable Porous Medium. In Andrei Korobeinikov, Magdalena Caubergh, Tomás Lázaro, Josep Sardanyés. Extended Abstracts Spring 2018: Singularly Perturbed Systems, Multiscale. Cham, Switzerland: Springer International Publishing, 2019, p. 131-135. ISBN 978-3-030-25260-1. Available from: https://dx.doi.org/10.1007/978-3-030-25261-8_20.

@inproceedings{32843,
   author = {Kopfová, Jana and Eleuteri, Michela and Ipocoana, Erica and Krejčí, Pavel},
   address = {Cham, Switzerland},
   booktitle = {Extended Abstracts Spring 2018: Singularly Perturbed Systems, Multiscale},
   doi = {http://dx.doi.org/10.1007/978-3-030-25261-8_20},
   editor = {Andrei Korobeinikov, Magdalena Caubergh, Tomás Lázaro, Josep Sardanyés},
   keywords = {Hysteresis operators; periodic solutions; mammalian lungs; convergence scheme},
   howpublished = {tištěná verze "print"},
   language = {eng},
   location = {Cham, Switzerland},
   isbn = {978-3-030-25260-1},
   pages = {131-135},
   publisher = {Springer International Publishing},
   title = {Breathing as a Periodic Gas Exchange in a Deformable Porous Medium},
   url = {https://link.springer.com/chapter/10.1007%2F978-3-030-25261-8_20},
   year = {2019}
}

TY  - JOUR
ID  - 32843
AU  - Kopfová, Jana - Eleuteri, Michela - Ipocoana, Erica - Krejčí, Pavel
PY  - 2019
TI  - Breathing as a Periodic Gas Exchange in a Deformable Porous Medium
PB  - Springer International Publishing
CY  - Cham, Switzerland
SN  - 9783030252601
KW  - Hysteresis operators
KW  - periodic solutions
KW  - mammalian lungs
KW  - convergence scheme
UR  - https://link.springer.com/chapter/10.1007%2F978-3-030-25261-8_20
L2  - https://link.springer.com/chapter/10.1007%2F978-3-030-25261-8_20
N2  - We propose to model the mammalian lungs as a viscoelastic deformable porous medium with a hysteretic pressure–volume relationship described by the Preisach operator. Breathing is represented as an isothermal time-periodic process with the gas exchange between the interior and exterior of the body. The main result consists of proving the existence of a periodic solution under an arbitrary periodic forcing in suitable function spaces.
ER  -

KOPFOVÁ, Jana, Michela ELEUTERI, Erica IPOCOANA and Pavel KREJČÍ. Breathing as a Periodic Gas Exchange in a Deformable Porous Medium. In Andrei Korobeinikov, Magdalena Caubergh, Tomás Lázaro, Josep Sardanyés. \textit{Extended Abstracts Spring 2018: Singularly Perturbed Systems, Multiscale}. Cham, Switzerland: Springer International Publishing, 2019, p.~131-135. ISBN~978-3-030-25260-1. Available from: https://dx.doi.org/10.1007/978-3-030-25261-8\_{}20.

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